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\( \mathrm{E}_{\text {cell }}^{\mathrm{o}} \) for reaction, \( 4 \mathrm{Al}(\mathrm{s})+3 \mathrm{O}_{2}(\mathrm{~s})+6 \mathrm{H}_{2} \mathrm{O}+4 \mathrm{OH}^{-} \) \( \longrightarrow\left[\mathrm{Al}(\mathrm{OH})_{4}\right]^{-} \)is \( 2.73 \mathrm{~V} \). If \( \mathrm{G}_{\mathrm{f}}^{\mathrm{o}} \) of \( \mathrm{OH}^{-} \)and \( \mathrm{H}_{2} \mathrm{O} \) are \( -157 \mathrm{~kJ} \mathrm{~mole}^{-1} \) and \( -237.2 \mathrm{~kJ} \mathrm{~mol}^{-1} \) determine \( \mathrm{G}_{\mathrm{f}}^{\mathrm{O}} \) for \( \left[\mathrm{Al}(\mathrm{OH})_{4}\right]^{-} \)
(A) \( -1580 \mathrm{~kJ} \)
(B) \( -1303 \mathrm{~kJ} \)
(C) \( -1260 \mathrm{~kJ} \)
(D) \( -1380 \mathrm{~kJ} \)
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